1 citations · 1 across the 6 of their papers we have counts for
6 papers
Chambers and walls in spaces of real algebraic curves of small degrees
Victor Ivanovich Zvonilov
This paper reviews known results on the rigid isotopy classification of plane curves of degree and curves of small degrees on quadrics. The paper's study completes the rig…
Graphs of trigonal curves and rigid isotopies of singular real algebraic curves of bidegree on a hyperboloid
V. I. Zvonilov
A rigid isotopy of real algebraic curves of a certain class is a path in the space of curves of this class. The paper's study completes the rigid isotopic classification of nonsing…
Compactification of the space of branched coverings of the two-dimensional sphere
V. I. Zvonilov, S. Yu. Orevkov
For a closed oriented surface we define its degenerations into singular surfaces that are locally homeomorphic to wedges of disks. Let be the set of isomorphism clas…
A cell structure of the space of branched coverings of the two-dimensional sphere
Orevkov S. Yu, V. I. Zvonilov
For a closed oriented surface let be the space of isomorphism classes of orientation preserving -fold branched coverings of the two-dimension…
Maximally inflected real trigonal curves on Hirzebruch surfaces
V. I. Zvonilov
In 2014 A. Degtyarev, I. Itenberg and the author gave a description, up to fiberwise equivariant deformations, of maximally inflected real trigonal curves of type~I (over a base $…
Real trigonal curves and real elliptic surfaces of type I
Alex Degtyarev, Ilia Itenberg, Victor Zvonilov
We study real trigonal curves and elliptic surfaces of type $\I$ (over a base of an arbitrary genus) and their fiberwise equivariant deformations. The principal tool is a real vers…